GCF of 996/972, 5301/7540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 996/972, 5301/7540 i.e 3/1832220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/972, 5301/7540.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 996/972,5301/7540?
Given fractions are 996/972,5301/7540
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 996/972,5301/7540, numerators are 996,5301
Denominators are 972,7540
The GCF of 996,5301 is 3 .
LCM of 972,7540 is 1832220.
The greatest common factor of 996/972,5301/7540 = [GCF of 996,5301]/[LCM of 972,7540]= 3/1832220
Therefore, the GCF of 996/972,5301/7540 is 3/1832220.
To find the highest common factor of 996,5301, we have to find the factors of both numbers and list the highest common factor.
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The factors of 5301 are 1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301
The HCF of 996,5301 is 3.
Lets's calculate GCF of 996,5301
| 3 | 996, 5301 |
| 332, 1767 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 996,5301 By Matching Biggest Common Factor Method
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Now, list down the factors of 5301
:1,3,9,19,31,57,93,171,279,589,1767,5301
Greatest Common Factor
We found the factors 996,5301 . The biggest common factor number is the GCF number.
So the greatest common factor 996,5301 is 3.
Lets's calculate LCM of 972,7540
| 2 | 972, 7540 |
| 2 | 486, 3770 |
| 243, 1885 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 1885 = 1832220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1832220
Therefore, the GCF of Fractions 996/972,5301/7540 is 3/1832220
Least Common Multiple of 972,7540 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 972,7540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,7540) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,7540) x common factors =4 x 1 = 4
LCM(972,7540) = ( 972 × 7540 ) / 4
LCM(972,7540) = 7328880 / 4
LCM(972,7540) = 1832220
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FAQs on GCF of Fractions of 996/972, 5301/7540
1. What is the HCF of 996,5301?
The HCF of 996,5301 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 996/972, 5301/7540?
Answer: GCF of Numerators as per given numbers 996/972, 5301/7540 is
GCF of Numerators i.e. for 996,5301 is 3
LCM of denominators i.e. for 972,7540 is 1832220.
Thus, GCF of Fractions is 3/1832220.Finally, GCF of Fractions for 996/972, 5301/7540 is 3/1832220.